\contentsline {section}{\numberline {1}Induction}{1}%
\contentsline {subsection}{\numberline {1.1}The basic set up of finite element methods}{1}%
\contentsline {subsection}{\numberline {1.2}Should we multiply by a test function from the left or from the right?}{3}%
\contentsline {subsection}{\numberline {1.3}Assembling the matrix and right hand side vector}{3}%
\contentsline {subsection}{\numberline {1.4}Solving the linear system}{5}%
\contentsline {subsection}{\numberline {1.5}About the implementation}{6}%
\contentsline {subsection}{\numberline {1.6}A note on types}{8}%
\contentsline {section}{\numberline {2}The Purpose, Method and Results of step-3.}{8}%
\contentsline {subsection}{\numberline {2.1}Purpose}{8}%
\contentsline {subsection}{\numberline {2.2}Method}{8}%
\contentsline {subsection}{\numberline {2.3}Results}{12}%
